A strudel cost twice as much as a muffin at a nearby restaurant. Cole spent 14 of his money on some muffins and half of the remaining sum on 3 strudels. He had $27 left.
- What was the cost of 1 muffin?
- Ian bought 4 strudels and 2 muffins. How much did he spend altogether?
(a)
Fraction of Cole's amount left after buying the muffins
= 1 -
14 =
34 Fraction of Cole's amount spent on the strudels
=
34 x
12 =
38 Fraction of money left
= 1 -
14 -
38 = 1 -
28 -
38 =
38 Amount that Cole had left = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that Cole had left = Amount spent on 3 strudels
Cost of 3 strudels = $27
Cost of 1 strudel = 27 ÷ 3 = $9
Cost of 1 strudel is 2 times as much as the cost of 1 muffin.
Cost of 1 muffin
= 9 ÷ 2
= $4.50
(b)
Cost of 4 strudels and 2 muffins
= 4 x 9 + 2 x 4.50
= 36 + 9
= $45
Answer(s): (a) $4.50; (b) $45